10.1 Rotational Variables - University Physics Volume 1 | OpenStax

So far in this text, we have mainly studied translational motion, including the variables that describe it: displacement, velocity, and acceleration. Now we expand our description of motion to rotation—specifically, rotational motion about a fixed axis. We will find that rotational motion is described by a set of related variables similar to those we used in translational motion. Uniform circular motion (discussed previously in Motion in Two and Three Dimensions) is motion in a circle at constant speed. Although this is the simplest case of rotational motion, it is very useful for many situations, and we use it here to introduce rotational variables. In Figure 10.2, we show a particle moving in a circle. The coordinate system is fixed and serves as a frame of reference to define the particle’s position. Its position vector from the origin of the circle to the particle sweeps out the angle 𝜃 𝜃 , which increases in the counterclockwise direction as the particle moves along its circula

10.1 Rotational Variables - University Physics Volume 1 | OpenStax Skip to Content Go to accessibility page Keyboard shortcuts menu University Physics Volume 1 10.1 Rotational Variables University Physics Volume 1 10.1 Rotational Variables Contents Highlights Print Close 10.1 Rotational Variables By the end of this section, you will be able to: Describe the physical meaning of rotational variables as applied to fixed-axis rotation Explain how angular velocity is related to tangential speed Calculate the instantaneous angular velocity given the angular position function Find the angular velocit

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